1082565

Appears in sequences

• Third convolution of the powers of 3 (A000244).at n=9A027472
• Expansion of 1/(1 - 3*x)^4; 4-fold convolution of A000244 (powers of 3).at n=8A036216
• Numbers n such that sum of the squares of the prime factors of n equals the sum of the squares of the digits of n.at n=23A067184
• Fixed points of A083164: numbers k such that A083164(k) = k.at n=21A083166
• Horadam sequence (0,1,9,3).at n=9A085504
• a(n) = 3^(n-1)*Fibonacci(n).at n=10A099012
• Reduced denominators of the central moments of the distribution of random line segments picked on a unit line segment.at n=7A103308
• a(n) = 3*a(n-1) + 9*a(n-2) for n > 1, with a(0)=1, a(1)=3.at n=9A122069
• Number of 4-ary Lyndon words of length n with exactly four 1s.at n=8A124812
• Triangle read by rows: T(n,k) is number of hex trees with n edges and k leaves (n >= 1, 1 <= k <= 1 + floor(n/2)).at n=36A126177
• Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k DDU and LDU's.at n=38A128727
• Triangle T(n,k) = 3*T(n-1,k) + T(n-3,k-1) for k = 0..floor(n/3) with T(0,0) = 1 and T(n,k) = 0 for n or k < 0, read by rows.at n=47A317497
• Triangle T(n,k) = 3*T(n-1,k) + T(n-4,k-1) for k = 0..floor(n/4), with T(0,0) = 1 and T(n,k) = 0 for n or k < 0, read by rows.at n=47A318773
• 1-parking triangle T(r, i, 1) read by rows: T(r, i, k) = (r + 1)^(i-1)*binomial(k*(r + 1) + r - i - 1, r - i) with k = 1 and 0 <= i <= r.at n=41A329057